We're dividing 4121357 by 966 
We want to divide 4121357 by 966.

Moving on to step 1:
The number 966 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 966

Going ahead to step 2:
When dividing 41 by 966, we get 0 with a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Fetch the next digit (2) from the dividend, attach it to 41 and continue: 412 / 966

Let's proceed to step 3:
The number 966 fits into 412 0 times, leaving a remainder of 412.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 412 after subtracting 0 from 412.
Grab the next digit (1) from the dividend, add it to 412, then carry on: 4121 / 966

Advancing to step 4:
966 goes into 4121 4 times with a remainder of 257.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Deduct 3864 from 4121 and we're left with 257.
Take the next digit (3) from the dividend and append it to 257, then repeat: 2573 / 966

Let's proceed to step 5:
966 can be fit into 2573 2 times, resulting in a remainder of 641.
Put 2 as the next digit of the answer. 
Result so far: 42.0
Subtract 1932 from 2573 to get 641.
Include the next digit (5) from the dividend after 641, then repeat: 6415 / 966

On to step 6:
966 can be fit into 6415 6 times, resulting in a remainder of 619.
Record the quotient 6 as the next digit in the result. 
Result so far: 426.0
If we subtract 5796 from 6415, we get 619.
Append the next digit (7) from the dividend to 619 and continue with: 6197 / 966

Let's proceed to step 7:
The number 966 fits into 6197 6 times, leaving a remainder of 401.
Use 6 as the next digit of our solution. 
Result so far: 4266.0
If we subtract 5796 from 6197, we get 401.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4010, and continue the process.

On to step 8:
The number 966 fits into 4010 4 times, leaving a remainder of 146.
Record the quotient 4 as the next digit in the result. 
Result so far: 4266.4
Deduct 3864 from 4010 and we're left with 146.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1460, and continue the process.

Let's proceed to step 9:
1460 divided by 966 is 1 with a remainder of 494.
Use 1 as the next digit of our solution. 
Result so far: 4266.41
Subtract 966 from 1460 to get 494.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4940, and continue the process.

Let's proceed to step 10:
4940 divided by 966 is 5 with a remainder of 110.
Record the quotient 5 as the next digit in the result. 
Result so far: 4266.415
If we take 4830 away from 4940, we end up with 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

Going ahead to step 11:
1100 divided by 966 is 1 with a remainder of 134.
Write down 1 as next digit of the result. 
Result so far: 4266.4151
Deduct 966 from 1100 and we're left with 134.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1340, and continue the process.

Advancing to step 12:
966 can be fit into 1340 1 times, resulting in a remainder of 374.
Put 1 as the next digit of the answer. 
Result so far: 4266.41511
The remainder is 374 after subtracting 966 from 1340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3740, and continue the process.

The quotient of the division is 4266.41511, and the remainder is 0.000374.